Definitions
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 adjective mathematics, physics Of a
fourvector in representing apoint inspacetime , having apositive fourvector norm.  adjective physics (of the interval between two events in spacetime) Having overlapping
light cones , so thatinformation can pass from one to the other, and one can be envisaged as acause of the other.
Etymologies
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Examples

Now, in an open or flat FriedmannRobertsonWalker cosmological model with no cosmological constant, whilst the past 'BigBang' singularity corresponds to a spacelike hypersurface in the boundary of the conformal compactification, the future timelike infinity corresponds to a single point.

The far future of our universe is therefore representable by de Sitter spacetime, and in this type of spacetime the future timelike boundary is a spacelike hypersurface.

The boundary of the conformal compactification contains components which correspond to singularities, and components which correspond to spacelike infinity, timelike infinity, (and null infinity).

And Frank Tipler, in his youth, did some pioneering research on closed timelike curves in general relativity, so he has credentials as an honest physicist.
Accusations and Assumptions: Another MythicistCreationist Parallel

The result is a nonzero interval, spacelike for two photons emitted simultaneously from a source and timelike between different points on the worldline of a photon bouncing between mirrors.

The math is almost identical to my example, except that you get a timelike interval instead of a spacelike one.

The interval is zero between two points within a single lap, but it is nonzero (and timelike) when you take points on two different laps.

But there are soulutions that allow 'closed timelike curves'  travel backwards in time, at least back to a defined origin.

The math is almost identical to my example, except that you get a timelike interval instead of a spacelike one.

The interval is zero between two points within a single lap, but it is nonzero (and timelike) when you take points on two different laps.
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